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106599000440 = 2357336506507
BaseRepresentation
bin110001101000111001…
…0111010100101111000
3101012011001211022001102
41203101302322211320
53221303321003230
6120545414310532
710462423360562
oct1432162724570
9335131738042
10106599000440
11412323a1879
12187ab958448
13a08aa1412a
145233636332
152b8d744045
hex18d1cba978

106599000440 has 32 divisors (see below), whose sum is σ = 243133343280. Its totient is φ = 42055494912.

The previous prime is 106599000437. The next prime is 106599000449. The reversal of 106599000440 is 44000995601.

It is a super-2 number, since 2×1065990004402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106599000394 and 106599000403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106599000449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18250334 + ... + 18256173.

Almost surely, 2106599000440 is an apocalyptic number.

106599000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106599000440 is an abundant number, since it is smaller than the sum of its proper divisors (136534342840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106599000440 is a wasteful number, since it uses less digits than its factorization.

106599000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36506591 (or 36506587 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 106599000440 in words is "one hundred six billion, five hundred ninety-nine million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 36506507 73013014 146026028 182532535 292052056 365065070 730130140 1460260280 2664975011 5329950022 10659900044 13324875055 21319800088 26649750110 53299500220 106599000440